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Irreducible quantum group modules with finite dimensional weight spaces. I

Research output: Working paper/Preprint Working paperResearch

  • Dennis Hasselstrøm Pedersen, Denmark
In this paper we classify all simple weight modules for a quantum group Uq at a complex root of unity q when the Lie algebra is not of type G2. By a weight module we mean a finitely generated Uq-module which has finite dimensional weight spaces and is a sum of those. Our approach follows the procedures used by S. Fernando and O. Mathieu to solve the corresponding problem for semisimple complex Lie algebras.
Original languageEnglish
Number of pages37
Publication statusPublished - 27 Apr 2015

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